a) Due to this, the cube appears to be rotated on such an image. Derive an expression for the angle of rotation of the cube. b) How would a sphere look alike when moving with rel- ativistic velocity?
a) Due to this, the cube appears to be rotated on such an image. Derive an expression for the angle of rotation of the cube. b) How would a sphere look alike when moving with rel- ativistic velocity?
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Transcribed Image Text:C
D
Consider a cube of size l that is moving with a relativistic
velocity v. From the perspective of an observer (O), two
of the faces of the cube are perpendicular to the direction
of movement and two others are parallel to the plane
defined by the velocity i and the observer. Assume that the
observer is far away from the cube, i.e. light from the cube
can be assumed to be plane (waves).
A
The observer captures the cube visually by interpreting the
light that arrives at the same time at his position. Therefore,
light from point C needs to be emitted earlier than that from
point A to arrive at the same time at the observer.
a) Due to this, the cube appears to be rotated on such an
image. Derive an expression for the angle of rotation
of the cube.
b) How would a sphere look alike when moving with rel-
ativistic velocity?
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